We observe that 14 is 4 more than twice 5.
The scooter's rate is 14 mph.
The bicycle's rate is 5 mph.
_____
time = distance/rate
14/(2b +4) = 5/b . . . . . . let b represent the bicycle's speed in mi/h
14b = 10b +20 . . . . . . . .cross multiply
4b = 20 . . . . . . . . . . . . . subtract 10b
b = 5 . . . . . . . . . . . . . . . divide by 4. Same answer as above.
Answer: a(n) = 5 - 3n
the sequence has:
a1 = 2
a2 = -1
a3 = -7
.........
we can see that: a2 - a1 = a3 - a2 = -3
=> the sequence is a arithmetic sequence
=> the distance between the numbers is d = -3
because this sequence is a arithmetic sequence
=> a(n) = a1 + (n - 1)d = 2 + (n - 1).(-3) = 5 - 3n
Step-by-step explanation:
Answer: 120 divided by 4 = 30
Step-by-step explanation:
Answer:
No, because as the x-values are increasing by a constant amount, the y-values are not being multiplied by a constant amount.
Step-by-step explanation:
We have a set of ordered pairs of the form (x, y)
If a function is exponential then the ratio between the consecutive values of y, is always equal to a constant.
This means that:
\frac{y_2}{y_1}=\frac{y_3}{y_2}=\frac{y_4}{y_3}=by1y2=y2y3=y3y4=b
This is: y_2=by_1y2=by1
Now we have this set of points {(-1, -5), (0, -3), (1, -1), (2, 1)}
Observe that:
\begin{gathered}\frac{y_2}{y_1}=\frac{-3}{-5}=\frac{3}{5}\\\\\frac{y_3}{y_2}=\frac{-1}{-3}=\frac{1}{3}\\\\\frac{3}{5}\neq \frac{1}{3}\end{gathered}y1y2=−5−3=53y2y3=−3−1=3153=31
Then the values of y are not multiplied by a constant amount "b"
Answer:
The factored form of x^3 -1 will be:
Step-by-step explanation:
Given the expression
Rewrite 1 as 1³
Thus, the factored form of x^3 -1 will be:
